Higher order concentration on Stiefel and Grassmann manifolds
Götze F, Sambale H (2023)
Electronic Journal of Probability 28: 79.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Götze, FriedrichUniBi;
Sambale, Holger
Einrichtung
Abstract / Bemerkung
We prove higher order concentration bounds for functions on Stiefel and Grassmann manifolds equipped with the uniform distribution. This partially extends previous work for functions on the unit sphere. Technically, our results are based on logarithmic Sobolev techniques for the uniform measures on the manifolds. Applications include Hanson-Wright type inequalities for Stiefel manifolds and concentration bounds for certain distance functions between subspaces of Rn.
Stichworte
concentration of measure phenomenon;
Stiefel manifold;
Grassmann;
manifold;
logarithmic Sobolev inequality;
Hanson-Wright inequality
Erscheinungsjahr
2023
Zeitschriftentitel
Electronic Journal of Probability
Band
28
Art.-Nr.
79
eISSN
1083-6489
Page URI
https://pub.uni-bielefeld.de/record/2980945
Zitieren
Götze F, Sambale H. Higher order concentration on Stiefel and Grassmann manifolds. Electronic Journal of Probability . 2023;28: 79.
Götze, F., & Sambale, H. (2023). Higher order concentration on Stiefel and Grassmann manifolds. Electronic Journal of Probability , 28, 79. https://doi.org/10.1214/23-EJP966
Götze, Friedrich, and Sambale, Holger. 2023. “Higher order concentration on Stiefel and Grassmann manifolds”. Electronic Journal of Probability 28: 79.
Götze, F., and Sambale, H. (2023). Higher order concentration on Stiefel and Grassmann manifolds. Electronic Journal of Probability 28:79.
Götze, F., & Sambale, H., 2023. Higher order concentration on Stiefel and Grassmann manifolds. Electronic Journal of Probability , 28: 79.
F. Götze and H. Sambale, “Higher order concentration on Stiefel and Grassmann manifolds”, Electronic Journal of Probability , vol. 28, 2023, : 79.
Götze, F., Sambale, H.: Higher order concentration on Stiefel and Grassmann manifolds. Electronic Journal of Probability . 28, : 79 (2023).
Götze, Friedrich, and Sambale, Holger. “Higher order concentration on Stiefel and Grassmann manifolds”. Electronic Journal of Probability 28 (2023): 79.
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